Finding the Fourth Proportional to 2,587.82, 3,881.78 and 856.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.82 : 3,881.78 = 856.49 : x
2. Step 2: Convert to fraction form
   2,587.82/3,881.78 = 856.49/x
3. Step 3: Cross multiply
   2,587.82x = 3,881.78 × 856.49
4. Step 4: Simplify right side
   2,587.82x = 3,324,701.47
5. Step 5: Solve for x
   x = 3,324,701.47/2,587.82
6. Step 6: Final answer
   x = 1,284.75